Vakhtang Kokilashvili, Alexander Meskhi
Abstract
The boundedness of one-sided integral operators in grand variable exponent Lebesgue spaces unifying grand Lebesgue spaces and variable exponent Lebesgue spaces are established. The conditions on variable exponent is weaker than the log-Hölder continuity condition.
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The boundedness of one-sided integral operators in grand variable exponent Lebesgue spaces unifying grand Lebesgue spaces and variable exponent Lebesgue spaces are established. The conditions on variable exponent is weaker than the log-Hölder continuity condition.
Key concepts: Lebesgue's number lemma, Lp space, Mathematics, Lebesgue–Stieltjes integration, Standard probability space, Exponent, Variable (mathematics), Lebesgue integration